Periodic Motions and Criteria of Absolute Stability, Instability, and Controllability of Two-Dimensional Bilinear Systems

V. N. Zhermolenko

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Periodic Motions and Criteria of Absolute Stability, Instability, and Controllability of Two-Dimensional Bilinear Systems

机译：二维双线性系统的周期运动和绝对稳定性，不稳定性和可控制性的判据

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Two-dimensional time-varying linear systems under parametric interval uncertainty are studied. A variational method based on phase portrait is developed for investigating controllable systems. Analytical criteria for absolute stability, instability, and complete controllability are formulated. The complete controllability criterion is shown to be implied by the criteria of absolute stability and instability.

机译：研究了参数区间不确定下的二维时变线性系统。开发了一种基于相像的变分方法来研究可控系统。制定了绝对稳定性，不稳定性和完全可控性的分析标准。绝对稳定性和不稳定性标准暗示了完整的可控性标准。

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《Automation and Remote Control》 |2006年第8期|共21页
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V. N. Zhermolenko;
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1. Periodic Motions and Criteria of Absolute Stability, Instability, and Controllability of Two-Dimensional Bilinear Systems [J] . V. N. Zhermolenko Automation and Remote Control . 2006,第8期

机译：二维双线性系统的周期运动和绝对稳定性，不稳定性和可控制性的判据
2. Periodic learning disturbance observer based precision motion control in PMLSM motion systems considering long-term instability problem [J] . Cho Kwanghyun, Nam Kanghyun International Journal of Precision Engineering and Manufacturing . 2016,第9期

机译：考虑长期不稳定性问题的PMLSM运动系统中基于周期学习干扰观测器的精确运动控制
3. On instability under small periodic perturbation of two-dimensional hyperbolic systems [J] . Lyulko N.A. Journal of applied and industrial mathematics . 2011,第1期

机译：二维双曲系统小周期扰动下的不稳定性
4. Stability criteria for a class of feedback controlled, imperfectly known, bilinear time-delay systems of the neutral type [C] . D.P. Goodall, G.-D. Hu IFAC conference on control of industrial systems control for the future of the youth"" . 1997

机译：一类中立型反馈控制，不完全已知的双线性时滞系统的稳定性标准
5. Control of piecewise smooth systems: Generalized absolute stability and applications to supercavitating vehicles. [D] . Lin, Guojian. 2007

机译：分段平滑系统的控制：广义绝对稳定性及其在超空化车辆上的应用。
6. Absolute Stability Criteria for Large-Scale Lurie Direct Control Systems with Time-Varying Coefficients [O] . Fucheng Liao, Di Wang -1

机译：具有时变系数的大型Lurie直接控制系统的绝对稳定性判据
7. LXV. On instability of periodic motion, being a continuation of article on periodic motion of a finite conservative system [O] . William Thomson 1891

机译：LXV。关于周期性运动的不稳定性，是有限保守体系周期运动的延续文章
8. Instability of periodic motions near collinear points of libration in the restricted problem of three bodies [R] . Duboshin, G. N. 1967

机译：三体限制问题中共线点附近周期运动的不稳定性

Periodic Motions and Criteria of Absolute Stability, Instability, and Controllability of Two-Dimensional Bilinear Systems

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